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Finding the Fourth Proportional to 56,490.84, 84,738.47 and 17,047.96

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Solution

The fourth proportional to 56,490.84, 84,738.47 and 17,047.96 is: 25,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,490.84 : 84,738.47 = 17,047.96 : x
  2. Step 2: Convert to fraction form
    56,490.84/84,738.47 = 17,047.96/x
  3. Step 3: Cross multiply
    56,490.84x = 84,738.47 × 17,047.96
  4. Step 4: Simplify right side
    56,490.84x = 1,444,617,749.94
  5. Step 5: Solve for x
    x = 1,444,617,749.94/56,490.84
  6. Step 6: Final answer
    x = 25,572.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.